On the singular set of a nonlinear degenerate PDE arising in Teichmüller theory

Daskalopoulos, Georgios; Mese, Chikako

doi:10.1090/proc/15573

On the singular set of a nonlinear degenerate PDE arising in Teichmüller theory
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by Georgios Daskalopoulos and Chikako Mese PDF

Proc. Amer. Math. Soc. 150 (2022), 411-422 Request permission

Abstract:

Harmonic maps into a Coxeter complex of Teichmüller spaces are described by a certain degenerate elliptic partial differential equation. We analyze the structure of the singular set near a junction of Teichmüller spaces. In particular, we show that the singular set is $(n-1)$-rectifiable.

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